1053226000 has 160 divisors (see below), whose sum is σ = 2644518240. Its totient is φ = 405504000.

The previous prime is 1053225991. The next prime is 1053226001. The reversal of 1053226000 is 6223501.

It is a happy number.

1053226000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 1046651904 + 6574096 = 32352^2 + 2564^2 .

It is a super-2 number, since 2×1053226000² = 2218570014152000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1053226001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10857952 + ... + 10858048.

It is an arithmetic number, because the mean of its divisors is an integer number (16528239).

Almost surely, 2^1053226000 is an apocalyptic number.

1053226000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1053226000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322259120).

1053226000 is an abundant number, since it is smaller than the sum of its proper divisors (1591292240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1053226000 is an equidigital number, since it uses as much as digits as its factorization.

1053226000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 1053226000 is about 32453.4435769149. The cubic root of 1053226000 is about 1017.4362115331.

Adding to 1053226000 its reverse (6223501), we get a palindrome (1059449501).

The spelling of 1053226000 in words is "one billion, fifty-three million, two hundred twenty-six thousand".